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Old 2003-11-27, 12:56   #1
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Default 40th Prime Mersenne Number?

It has been in the press, but I didn't find the candidate.
It is 2^n -1 for which n?
 
Old 2003-11-27, 13:02   #2
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Until verification runs are completed to ensure that it is a Mersenne Prime, the exponent will not be released. We've all been waiting to find out...
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Old 2003-11-27, 16:49   #3
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George's verification runs will finish December 2. See this thread in the Lounge:

http://www.mersenneforum.org/showthr...&threadid=1420
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Old 2003-12-03, 13:45   #4
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Quoting www.mersenne.org:

On November 17, 2003 Michael Shafer's computer found the 40th known Mersenne prime, 220,996,011-1! This number "weighs in" at a whopping 6,320,430 decimal digits! This is also the largest known prime number, surpassing GIMPS' last discovery by over 2 million digits.

The number is (2^220996011)-1 and has in fact been verified independently twice.
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Old 2003-12-03, 17:08   #5
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That's p=20,996,011
220,996,011 is a little beyond our reach today.
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Old 2003-12-05, 00:16   #6
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According to the German Stern Magazine the new prime number is 2^20 996 011 -1. It has 6 320 430 digits.

http://stern.de/wissenschaft/forschu...16686&nv=hp_rt

The name is Michael Schaefer of the Michigan State University on a standard PC.
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Old 2003-12-05, 01:19   #7
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Quote:
Originally posted by epatka
According to the German Stern Magazine the new prime number is 2^20 996 011 -1. It has 6 320 430 digits.

http://stern.de/wissenschaft/forschu...16686&nv=hp_rt

The name is Michael Schaefer of the Michigan State University on a standard PC.
That is correct. The computer that found M40 was a Pentium 4.
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Old 2003-12-05, 09:12   #8
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Oops, sorry about that typo.

For anyone who wants to know:

# of digits = (p*log[base 10]2) rounded up.

I think
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